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  • A solid disk of mass 4 kg, radius 0.2 m, rolling without slipping with angular speed ω = 6 rad/s. What is its total kinetic energy?
  • A vector of magnitude 5 m at angle 30° above the +x axis. What are its components?
  • What is the work-energy theorem in terms of net work and kinetic energy?
  • Which statement is true for electrostatic equilibrium in conductors?
  • The potential energy of a dipole in a uniform electric field is U = - p · E. If p is parallel to E, which expression correctly represents U?
  • What is the expression for the electrostatic force between two point charges in vacuum?
  • For the same 2 kg mass on a 30° incline, what is the gravity component along the incline?
  • For a simple pendulum, does the mass affect the period under the small-angle approximation?
  • For a spherical Gaussian surface of radius R centered at the origin with a charge inside, where can the charge be located to maximize the magnitude of the flux through the surface?
  • A 5 kg block on a frictionless table is pushed with 10 N. Starting from rest, what is the velocity after 2 seconds?
  • Two opposite charges of equal magnitude are separated by a distance d. How does the potential energy depend on d as d increases?
  • The mass of a proton mp is approximately which value?
  • Which statement about electric field lines is always true?
  • If a wave has frequency f and wavelength λ, what is its speed v?
  • At radius R, the tangential speed v is related to angular speed ω by which expression?
  • Which statement about Gauss's Law is true regarding the electric flux through a closed surface?
  • In a uniform electric field, which statement about field lines is true?
  • A simple pendulum length L = 1.00 m. What is the period for small oscillations?
  • Two point masses, 1 kg at x = 0 m and 4 kg at x = 2 m, where is the center of mass?
  • Which statement best describes Archimedes' principle for a submerged object?
  • Which scenario uses Esheet = σ/(2ε0) for the electric field?
  • A positive charge at one corner of a square produces a field strength of 2 N/C at the center. If the other three corners also hold the same positive charge, what is the magnitude of the net electric field at the center?
  • A block moves horizontally with no vertical displacement. What is the work done by gravity on the block?
  • Coulomb's constant k has a value of which of the following?
  • Define momentum and impulse. Which statement correctly defines them?
  • A 5 N force acts on a 2 kg mass for 0.20 s. If initial velocity is 0, what is the final velocity?
  • In a rocket ejecting mass, which quantity is conserved?
  • Express the potential difference V- - V+ for two infinite plates with equal and opposite surface charges in terms of d, σ, and ε0.
  • The electric force on a point charge is proportional to the magnitude of the point charge.
  • For a point charge, if the potential at distance r is V, what is the potential at distance 2r?
  • The mass of an electron me is approximately which value?
  • A block on a 30-degree incline with μs = 0.50 is just about to slide. Given mg sin θ = 9.8 N and μs N = 8.0 N, does it slide?
  • In an isolated system with no external forces, what happens to the total momentum?
  • In terms of charge and voltage, the energy stored in a capacitor can be written as which of the following?
  • If a closed surface encloses no net charge, what is the electric flux through that surface?
  • Which expression correctly defines the linear charge density λ?
  • Which expression gives the centripetal acceleration a_c for uniform circular motion?
  • A 10 N force acts at 60° to the displacement of 5 m. What is the work done?
  • A mechanical wave with f = 50 Hz and λ = 3.0 m. What is its speed v?
  • In spherical symmetry, the electric field magnitude is related to the potential by which of the following relations?
  • The electric field just outside a charged conducting surface is Econd = ?
  • From a point charge, the electric field strength at distance r from the charge is E. What is the strength at distance 2r?
  • For the vector of magnitude 5 m at 30° above the +x axis, what is the y-component?
  • If the net electric flux through a closed surface is zero, the electric field at every point on that surface must be zero.
  • If the length of a pendulum is increased by a factor of 2, how does the period change?
  • Are radians dimensionless, and what are the resulting units for angular velocity?
  • The electric field just outside an infinite plane sheet with surface charge density σ is Esheet = ?
  • The gravitational potential energy of a 2 kg mass lifted 5 meters is what?
  • Round 3.14159 to three significant figures.
  • Gravity is what type of force?
  • The electric flux through a closed surface equals enclosed charge divided by ε0. Which statement is true?
  • An infinite sheet of charge with uniform surface density σ is intersected by a cylindrical Gaussian surface with its axis perpendicular to the sheet; the bases have area A. What is the net electric flux through the Gaussian surface?
  • What is the work done by gravity when a mass m is lifted upward by height h?
  • Which symbol denotes vacuum permittivity in the listed formulas?
  • A projectile is launched with speed 20 m/s at 60° above the horizontal. What is the time of flight?
  • Which quantities are conserved in an elastic collision?
  • Two displacement vectors: 3 m east and 4 m north. What is the magnitude and direction of the resultant vector?
  • Gauss's law: If two Gaussian surfaces enclose the same total charge, how do their electric fluxes compare?
  • On a hollow conducting sphere with net charge, where does the charge reside?
  • A positively charged ring lies in the xz-plane. At a point on the axis of symmetry, what is the direction of the electric field?
  • Two point charges of opposite sign have unequal magnitudes. Along the line joining them, where is the point where the net electric field is zero located?
  • The electric field due to a positive point charge points in which direction?
  • After a parallel-plate capacitor is fully charged by a battery, the battery is removed and the plates are moved apart from 3.0 mm to 6.0 mm. What happens to the magnitude of the electric field between the plates?
  • Which equation gives the position x for constant acceleration?
  • With the disk described above rolling without slipping, what is the translational acceleration a of its center?
  • Two charged objects are separated by some distance. The charge on the first object is greater than the charge on the second object. How does the force between the two objects compare?
  • A capacitor stores 6.0 μC at a voltage of 3.0 V. If the voltage becomes 4.0 V, what is the charge on this capacitor?
  • For a mass-spring system with angular frequency ω = 20 rad/s, what is its period T?
  • For an infinite line charge, the electric field at distance r is given by which expression?
  • If a closed surface encloses a net charge Q, what is the net electric flux through the surface?
  • A 3 kg mass moves at 4 m/s. What is its kinetic energy?
  • Which option correctly states how Eline varies with distance r from a line of charge?
  • The electric field strength due to a point charge varies with distance r from the charge as which relation?
  • Pressure produced by a 12 N force applied to an area of 0.01 m^2 is:
  • Using the same projectile, what is the horizontal range?
  • In a closed system with only internal forces acting, what is true about total momentum?
  • In the equation F = m a, what are the SI units for force and acceleration, respectively?
  • In uniform circular motion, which statement correctly describes the orientation of velocity and centripetal acceleration?
  • In rolling motion without slipping, what is the total kinetic energy of a solid disk rotating with angular speed ω (mass M, radius R)?
  • Where do charges reside on a hollow conducting sphere with a cavity and no charges inside the cavity?
  • Which statement about electric field lines near a positive point charge is true?
  • A uniform electric field equipotential surfaces are:
  • A Gaussian surface lies completely inside an electrostatic conductor. What is the electric field on the surface?
  • Rank the net electric flux through each Gaussian surface shown from most negative to most positive: A inside a sphere carrying Q, B outside a sphere carrying 4Q, C inside a cube carrying Q, D inside a cylinder carrying -3Q.
  • An infinite sheet of charge with surface density σ produces an electric field with magnitude:
  • A semicircular arc carries uniform negative charge. At the center of the arc, which direction does the electric field point?
  • A block sits on a frictionless incline of 30°, mass 2 kg. What is the normal force?
  • A point charge q is at the center of a spherical Gaussian surface. If the charge is moved to a different point inside the sphere, which quantity changes?
  • In the absence of nonconservative forces, what happens to mechanical energy?
  • Which statement best describes conservation of electric charge?
  • If a 2 kg block on a horizontal surface with μk = 0.30 experiences a 15 N push, what is the acceleration?
  • During the flight of a projectile launched horizontally, which velocity component remains constant in the absence of air resistance?
  • Which relation correctly relates linear speed v to angular speed ω and radius R for a rotating object?
  • In an isolated capacitor with dielectric inserted, which statement is true?
  • Define angular displacement.
  • Is it possible for the electric field between two positive charges to equal zero along the line joining the two charges?
  • In an elastic collision, what happens to the total kinetic energy of the system?
  • If a closed surface encloses two charges q each, the total flux is:
  • A negative point charge -Q is placed at the center of a hollow conducting sphere. What is the electric field in the conducting material?
  • The elementary charge e is approximately which value?
  • On a frictionless track, which quantity is conserved as the object slides and exchanges potential and kinetic energy?
  • If a closed surface encloses equal positive and negative charges, the net flux is zero.
  • Which statement is true about electric charge?
  • If the sum of torques about a point is zero, what is true about angular acceleration?
  • Two spheres, each of radius 30 cm, carry the same total charge +20 mC. Sphere A is a conductor, Sphere B is an insulator with charge uniformly distributed through its volume. At r = 10 cm from the center, compare the magnitudes of the electric fields Ea (in the conductor) and Eb (in the insulator).
  • For two infinite plates with equal opposite surface charge density σ separated by distance d, what is the potential difference V- - V+ in terms of d, σ, and ε0?
  • A 2 kg block on a horizontal surface with μk = 0.30 experiences a 10 N push. What is the acceleration (to the right), g = 9.81 m/s^2?
  • If the charge is doubled, the potential at the same location becomes:
  • What is the general direction of the electric field produced by a positive point charge?
  • A positive charge moves in a direction opposite to an electric field. What happens to its energy?
  • Which expression correctly defines the volume charge density p?
  • Two infinite parallel plates carry equal and opposite surface charge density σ. The electric field between them is E = σ/ε0 and does not depend on separation. What happens to E if the plates are moved closer so that the separation is halved?
  • If the length of a pendulum is increased by a factor of 3, by what factor does the period increase?
  • How does friction affect mechanical energy?
  • What is an equipotential surface?
  • In electrostatics, what is the electric field inside the conducting material of a hollow conducting shell?
  • A negative point charge moves in the same direction as an electric field. What happens to the potential energy of the system?
  • Compute the center of mass for m1 = 2 kg at x1 = 0 and m2 = 3 kg at x2 = 4 m.
  • The permittivity ε of a dielectric is related to vacuum permittivity ε0 by which relation involving the dielectric constant K?
  • A uniformly charged square sheet with total Q is stretched so that side length doubles, quadrupling the area, with same Q; what is E at a fixed external point?
  • If a closed surface encloses net charge q, the flux is:
  • Electric field lines originate on positive charges and terminate on negative charges. Which of the following is true about field lines?
  • According to Archimedes' principle, which statement correctly describes the buoyant force on a submerged object?
  • For a projectile launched at 60° with speed 20 m/s, what is the vertical component of its initial velocity?
  • If a closed surface encloses no net charge, the total electric flux through the surface is:
  • The vacuum permittivity ε0 equals approximately which of the following?
  • If two charged objects separated by a fixed distance have their charges both doubled, what happens to the magnitude of the force between them?
  • Which expression correctly defines the surface charge density σ?
  • A solid disk of mass M = 2 kg and radius R = 0.50 m has a tangential force F = 4 N at the rim. If I = 1/2 M R^2, what is the angular acceleration α?
  • Under electrostatic conditions, the electric field just outside the surface of any charged conductor is:
  • Which statement about constant angular velocity is true?
  • If a force acts perpendicular to a particle's velocity, what is the instantaneous power delivered by the force?
  • Which statement about electric field lines is always true?
  • Which expression correctly represents the electric flux through a surface?
  • On the axis of a uniformly charged ring of radius a, the electric field at distance x from the center is E = ?
  • Two positive charges and a negative charge of equal magnitude q are located at the vertices of an equilateral triangle with side a. What is the total electric potential energy of the system?
  • If a force is always perpendicular to the displacement, the work done by that force is
  • In a one-dimensional elastic collision, m1 = m2 = 1 kg, initial v1 = 3 m/s, v2 = 0. After the collision, what are v1' and v2'?
  • The electric field direction due to a negative point charge is:
  • In an electric field diagram, where is the negative charge most likely located?
  • Which equation represents the electric field in region 1 (a cavity containing a -Q point charge)?
  • Which statement about field lines is true?
  • A 5 kg block on a frictionless horizontal table is pushed with 10 N. What is the acceleration?
  • If external torque is zero, what happens to angular momentum?
  • Which statement about potential energy is true when a positive test charge moves toward a region of lower electric potential?
  • Which of the following is the SI unit of force?
  • For a rotating object, what is the relationship between linear speed v and angular speed ω at radius R?
  • In a uniform electric field, which orientation yields zero electric flux through the surface?
  • A car travels at 60 miles per hour. What is its speed in meters per second?
  • Which statement about electric field lines is true?
  • Gauss's law states that the net electric flux through a closed surface is equal to what?
  • The torque on a dipole in a uniform electric field is τ = p × E. Which of the following statements is true when the dipole moment is oriented along the field?
  • When all charges are at rest, the surface of a conductor is always an equipotential surface. Is this statement true?
  • If a test charge q experiences a force F at a point, what is the electric field at that point?
  • Capacitance is defined as which of the following?
  • For an object on an incline, the normal force equals which expression?
  • A ball is thrown horizontally from height 45 m with speed 20 m/s. How long until it hits the ground?
  • Rotational equilibrium implies what about the sum of torques about any point?
  • A force of 20 N acts on an object moving at 3 m/s. What is the instantaneous power if the force is parallel to velocity?
  • Two large flat plates carry opposite charges with equal surface density σ and are separated by distance d. At the midpoint between the plates, the electric field magnitude is E. If the separation is halved to d/2, what is the magnitude of the field at the midpoint now?
  • For a mass-spring system with m = 0.50 kg and k = 200 N/m, what are the angular frequency ω and the frequency f?
  • For a closed surface, what is the flux if the enclosed net charge is zero?
  • Which equation represents the electric field in region 3 (outside of a conducting shell)?
  • The electric dipole moment is defined as p = |q| d, where d is the separation distance. Which of the following expresses p?
  • In the line-charge expression Eline = 2kλ/r, what does k represent?
  • What is the moment of inertia of a solid disk about its center for a disk with mass 2 kg and radius 0.50 m?
  • A square-based pyramid with base 6.00 m by 6.00 m and height 3.00 m is placed in a uniform electric field of 10.0 N/C. The pyramid encloses no charge. What is the electric flux through one of the four slanted faces?
  • If a simple pendulum has length L = 0.50 m, what is the period for small oscillations?
  • Torque on a dipole in a uniform electric field is τ = p × E. Which statement is true regarding torque when p is parallel to E?
  • Which kinematic equation relates final velocity v to initial velocity v0, acceleration a, and displacement Δx?
  • Two opposite charges increase their separation. How does the system's potential energy change relative to infinity?
  • A cube of side length 2 m is placed in a uniform electric field of magnitude 5 N/C directed along the negative x-direction. What is the net electric flux through the cube's surface?
  • Gauss's law relates the electric flux through a closed surface to which quantity?
  • If the charge is tripled, the electric potential at the same location becomes:
  • The energy stored in a capacitor is given by which expression?
  • The torque magnitude is given by which expression?
  • An object starts from rest with acceleration a = 2 m/s^2 for t = 3 s. How far does it travel?
  • Equipotential surfaces in a uniform electric field are perpendicular to the field lines. Which choice expresses this?
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